Question

Use the Distance Formula to find the distance between the pair of points. Round to the nearest tenth if necessary. W(2, 5), U(4, 3)

Answer 1

The distance between the pair of points is 2.8 units

Solution:

Given that,

Points are W(2, 5), U(4, 3)

Distance between two points is given as:

$d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}$

From given,

$(x_1, y_1) = (2, 5)\\\\(x_2, y_2) = (4, 3)$

Substituting the values we get,

$d = \sqrt{(3-5)^2+(4-2)^2}\\\\d = \sqrt{(-2)^2 + (2)^2}\\\\ d = \sqrt{4+4}\\\\d = \sqrt{8}\\\\d = 2.8284$

$d \approx 2.8$

Thus the distance between the pair of points is 2.8 units